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A method for calculating the anchor force of 3-D anchored slopes and its application

Author

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  • Linghui Wang

    (Hefei University of Technology)

  • Kunlin Lu

    (Hefei University of Technology)

Abstract

This paper proposes a method for determining the anchor force of a 3-D anchored slope based on the limit equilibrium analysis and the modification of the normal stress over the slip surface method. For a slip surface, the required anchor force can be calculated with the given factor of safety. Four limit equilibrium equations containing anchor forces are therefore established for 3-D slope. The nonlinear relationship between the factor of safety and the anchor force is turned into a linear relationship between the horizontal seismic coefficient and the anchor force by the force and moment equilibrium conditions. With a given factor of safety, the initial normal stress of the 3-D anchored slope is supposed and modified by a modifying function. An iterative procedure is proposed to determine the anchor force with a prescribed value of $$K_{c}$$ K c and to ensure that the normal stresses are positive on the whole slip surface. The method applies to any slip surface, and its practical engineering application confirms its efficacy.

Suggested Citation

  • Linghui Wang & Kunlin Lu, 2024. "A method for calculating the anchor force of 3-D anchored slopes and its application," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 120(8), pages 7411-7433, June.
    • Handle: RePEc:spr:nathaz:v:120:y:2024:i:8:d:10.1007_s11069-024-06524-1
    DOI: 10.1007/s11069-024-06524-1
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